English

Coverings of graded pointed Hopf algebras

Quantum Algebra 2014-08-05 v2 Rings and Algebras

Abstract

We introduce the concept of a covering of a graded pointed Hopf algebra. The theory developed shows that coverings of a bosonized Nichols algebra can be concretely expressed by biproducts using a quotient of the universal coalgebra covering group of the Nichols algebra. If there are enough quadratic relations, the universal coalgebra covering is given by the bosonization by the enveloping group of the underlying rack.

Keywords

Cite

@article{arxiv.1401.8061,
  title  = {Coverings of graded pointed Hopf algebras},
  author = {William Chin and Esther Beneish},
  journal= {arXiv preprint arXiv:1401.8061},
  year   = {2014}
}

Comments

to appear in J. of Algebra